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Finding the Fourth Proportional to 38,108, 52,590.12 and 21,342.08

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Solution

The fourth proportional to 38,108, 52,590.12 and 21,342.08 is: 29,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,108 : 52,590.12 = 21,342.08 : x
  2. Step 2: Convert to fraction form
    38,108/52,590.12 = 21,342.08/x
  3. Step 3: Cross multiply
    38,108x = 52,590.12 × 21,342.08
  4. Step 4: Simplify right side
    38,108x = 1,122,382,548.25
  5. Step 5: Solve for x
    x = 1,122,382,548.25/38,108
  6. Step 6: Final answer
    x = 29,452.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.